We study the properties of a dynamical system generated by a nonlinear conflict composition for indestructible opponents with an arbitrary (including infinite) number of conflict positions and a coupling coefficient α, 0 < α ≤ 1. We prove the existence of limit invariant states and give a complete description of their structure in terms of initial states. In the cases of two and three conflict positions, we give a geometric interpretation.

We investigate a dynamical system of conflict between two systems each of which, in turn, has an internal conflict. The external conflict and the internal one have different natures. The external conflict is described by an alternative interaction between nonannihilating adversaries. The internal conflict is similar to a conflict between interrelated populations of different biological nature ("predator-prey" model). We construct a computer model of this system and describe a typical behavior, illustrated by diagrams, which can be interpreted, in particular, as a migration of labor and investments between countries.